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On an empty triangle with the maximum area in planar point sets
Authors:Kiyoshi Hosono
Affiliation:aDepartment of Mathematics, Tokai University, 3-20-1 Orido, Shimizu, Shizuoka, 424-8610, Japan
Abstract:Let P be a finite set of points in general position in the plane. We evaluate the ratio between the maximum area of an empty triangle of P and the area of the convex hull of P.
Keywords:Empty convex polygons   5-holes with disjoint interiors   Area of an empty triangle
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